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Finding the Fourth Proportional to 273,549.94, 411,046.53 and 147,283.54

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Solution

The fourth proportional to 273,549.94, 411,046.53 and 147,283.54 is: 221,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,549.94 : 411,046.53 = 147,283.54 : x
  2. Step 2: Convert to fraction form
    273,549.94/411,046.53 = 147,283.54/x
  3. Step 3: Cross multiply
    273,549.94x = 411,046.53 × 147,283.54
  4. Step 4: Simplify right side
    273,549.94x = 60,540,388,043.12
  5. Step 5: Solve for x
    x = 60,540,388,043.12/273,549.94
  6. Step 6: Final answer
    x = 221,313.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.